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Finding the Fourth Proportional to 6,837.99, 9,431.74 and 4,186.71

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Solution

The fourth proportional to 6,837.99, 9,431.74 and 4,186.71 is: 5,774.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,837.99 : 9,431.74 = 4,186.71 : x
  2. Step 2: Convert to fraction form
    6,837.99/9,431.74 = 4,186.71/x
  3. Step 3: Cross multiply
    6,837.99x = 9,431.74 × 4,186.71
  4. Step 4: Simplify right side
    6,837.99x = 39,487,892.08
  5. Step 5: Solve for x
    x = 39,487,892.08/6,837.99
  6. Step 6: Final answer
    x = 5,774.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.